On the convergence of orthogonal eigenfunction series

Fikioris, JG

dc.contributor.author	Fikioris, JG	en
dc.date.accessioned	2014-03-01T01:06:27Z
dc.date.available	2014-03-01T01:06:27Z
dc.date.issued	1985	en
dc.identifier.issn	0378-4754	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9385
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-46549090764&partnerID=40&md5=e71f407d54895d75cdb69e89db68b694	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0022321988&partnerID=40&md5=386f9da401d6780abe63d0632e864b7a	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	CONTROL SYSTEMS - Analysis	en
dc.subject.other	HIGH FREQUENCY SCATTERING	en
dc.subject.other	WATSON'S TRANSFORMATION	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	On the convergence of orthogonal eigenfunction series	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1985	en
heal.abstract	The method of Watson's Transformation, well known in high frequency scattering, is applied to a two-dimensional, orthogonal eigenfunction series of rectangular harmonic functions, which provides the solution to a typical boundary value problem of Laplace's equation. A new infinite, so-called residue, series is obtained exhibiting convergence properties stronger than, in certain respects, and complementary to the original eigenfunction series. Convergence of the two series and of their derivatives is further compared and tested near points of discontinuity. ""Extraction"" of the discontinuous term out of the original series and reexpansion of the solution provides a third eigenfunction series with uniform convergence in the whole region and good convergence near the singularities of the solution. Eigenfunction series of other boundary value problems are, also, discussed and similarities with the evaluation of complicated Fourier or Sommerfeld integrals via contour integration are pointed out. © 1985.	en
heal.publisher	North-Holland, Amsterdam, Neth	en
heal.journalName	Mathematics and Computers in Simulation	en
dc.identifier.isi	ISI:A1985ATV2500015	en
dc.identifier.volume	27	en
dc.identifier.issue	5-6	en
dc.identifier.spage	531	en
dc.identifier.epage	539	en